1. DA 40 F2.8 Pancake + Adaptor on Pentax Q:-
via DPR Post Here
It can be seen that the K-Q Adaptor can use DA lenses, as there is rough aperture control from "0" to "7", at least the aperture of a DA lens can be stopped down, although the exact f-number is not known. This is exactly the same design as the K-to-NX adaptor of Samsung, no difference. And the adaptor itself is a pure mechanical dongle all in all.
2. Pentax K 1000 F8 on Pentax Q (via the Adaptor, of course):-
via http://www.yaotomi.co.jp/blog/used/2011/08/post-69.html
Well, how would you use a lens with an effective focal/Angle of View at 5600mm but with an relative slow aperture speed of f/8 by the way?! :-o